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Finding the Fourth Proportional to 306,098.60, 459,147.90 and 221,461.70

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Solution

The fourth proportional to 306,098.60, 459,147.90 and 221,461.70 is: 332,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,098.60 : 459,147.90 = 221,461.70 : x
  2. Step 2: Convert to fraction form
    306,098.60/459,147.90 = 221,461.70/x
  3. Step 3: Cross multiply
    306,098.60x = 459,147.90 × 221,461.70
  4. Step 4: Simplify right side
    306,098.60x = 101,683,674,485.43
  5. Step 5: Solve for x
    x = 101,683,674,485.43/306,098.60
  6. Step 6: Final answer
    x = 332,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.